Quantum Weight Enumerators for Real Codes with $X$ and $Z$ Exactly Transversal
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866910326803398656 |
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| author | Kubischta, Eric Teixeira, Ian Silvester, J. Maxwell |
| author_facet | Kubischta, Eric Teixeira, Ian Silvester, J. Maxwell |
| contents | In this note we show that the weight enumerators of a real quantum error correcting code with $ X $ and $ Z $ exactly transversal must satisfy certain identities. One consequence of these identities is that if the code is error detecting then it is automatically error correcting for free; implying a relationship between transversality and code distance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_12526 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum Weight Enumerators for Real Codes with $X$ and $Z$ Exactly Transversal Kubischta, Eric Teixeira, Ian Silvester, J. Maxwell Quantum Physics In this note we show that the weight enumerators of a real quantum error correcting code with $ X $ and $ Z $ exactly transversal must satisfy certain identities. One consequence of these identities is that if the code is error detecting then it is automatically error correcting for free; implying a relationship between transversality and code distance. |
| title | Quantum Weight Enumerators for Real Codes with $X$ and $Z$ Exactly Transversal |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2306.12526 |